Search a number
-
+
103438944 = 253475701
BaseRepresentation
bin1100010101001…
…01101001100000
321012122020120000
412022211221200
5202440021234
614133020000
72364134160
oct612455140
9235566500
10103438944
1153430234
122a784600
1318578b9b
14da485a0
159133899
hex62a5a60

103438944 has 120 divisors (see below), whose sum is σ = 347730768. Its totient is φ = 29548800.

The previous prime is 103438943. The next prime is 103438967. The reversal of 103438944 is 449834301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103438899 and 103438908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103438943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15294 + ... + 20994.

Almost surely, 2103438944 is an apocalyptic number.

103438944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103438944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173865384).

103438944 is an abundant number, since it is smaller than the sum of its proper divisors (244291824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103438944 is an equidigital number, since it uses as much as digits as its factorization.

103438944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 103438944 is about 10170.4937933219. The cubic root of 103438944 is about 469.4197517205.

The spelling of 103438944 in words is "one hundred three million, four hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 5701 6048 9072 11402 17103 18144 22804 34206 39907 45608 51309 68412 79814 91216 102618 119721 136824 153927 159628 182432 205236 239442 273648 307854 319256 359163 410472 461781 478884 547296 615708 638512 718326 820944 923562 957768 1077489 1231416 1277024 1436652 1641888 1847124 1915536 2154978 2462832 2873304 3232467 3694248 3831072 4309956 4925664 5746608 6464934 7388496 8619912 11493216 12929868 14776992 17239824 25859736 34479648 51719472 103438944